A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 725 hours. A random sample of 20 light bulbs has a mean life of 697 hours. Assume the population is normally distributed and the population standard deviation is 57 hours. At a = 0.05, do you have %3D you enough evidence to reject the manufacturer's claim? Complete parts (i) through (iv). i) Identify the null and alternative hypothesis. ii) Identify the critical value(s) and rejection region(s). iii) Identify the standardized test statistic. iv) Decide whether to reject or fail to reject the null hypothesis, and interpret the decision in the context of the original claim.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A light bulb manufacturer guarantees that the mean life of a certain type
of light bulb is at least 725 hours. A random sample of 20 light bulbs has a
mean life of 697 hours. Assume the population is normally distributed and
the population standard deviation is 57 hours. At a = 0.05, do you have
enough evidence to reject the manufacturer's claim? Complete parts (i)
through (iv).
i) Identify the null and alternative hypothesis.
ii) Identify the critical value(s) and rejection region(s).
iii) Identify the standardized test statistic.
iv) Decide whether to reject or fail to reject the null hypothesis, and
interpret the decision in the context of the original claim.
Choose the correct answer.
a)
607
Transcribed Image Text:A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 725 hours. A random sample of 20 light bulbs has a mean life of 697 hours. Assume the population is normally distributed and the population standard deviation is 57 hours. At a = 0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (i) through (iv). i) Identify the null and alternative hypothesis. ii) Identify the critical value(s) and rejection region(s). iii) Identify the standardized test statistic. iv) Decide whether to reject or fail to reject the null hypothesis, and interpret the decision in the context of the original claim. Choose the correct answer. a) 607
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